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Wait has calculated the impedance seen by a small circular loop of wire placed in an insulating spherical cavity in an infinite homogeneous conducting dielectric. The same technique may be used to compute the impedance of a loop inside a spherical shell. Attention is focused on the change in impedance of an electrically small wire loop when it is placed inside a spherical shell of lossy dielectric material whose radius is small compared to the free-space wavelength. The self-impedance in the absence of the shell can be calculated separately. Simple formulas are developed for the case where the conduction currents in the shell dominate over displacement currents and the shell is thin compared to the skin depth.